Perpendicular Bisectors

The perpendicular bisector of a line segment is the line that passes perpendicularly through the midpoint of the line segment.

Drawing Perpendicular Bisectors

1. Draw a horizontal line segment AB.

2.Using point A as the center, draw a circle with a radius greater than half the line segment AB.

3.Using point B as the centre, draw a circle with an idendical radius as the first.

4.The line that passes through the intersection of the circles is the perpendicular bisector of segment AB.

Perpendicular Bisector

Midpoint of a Line Segment

The intersection of the perpendicular bisector and the line segment AB is the midpoint M.

Perpendicular Bisectors of a Triangle

Perpendicular bisectors of a triangle are each of the perpendicular lines drawn at the midpoints of each side.



The circumcenter is the point of intersection of the three perpendicular bisectors.

The circumcenter is the center of the circle inscribed in the triangle.